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A criterion is presented and discussed to detect when a divergence-free perfect fluid energy tensor in the space-time describes an evolution in local thermal equilibrium. This criterion is applied to the class II Szafron-Szekeres perfect…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bartolomé Coll , Joan Josep Ferrando

New exact solutions of relativistic perfect fluid hydrodynamics are described, including the first family of exact rotating solutions. The method used to search for them is an investigation of the relativistic hydrodynamical equations and…

Nuclear Theory · Physics 2011-05-13 M. I. Nagy

The problem of calculating collective density fluctuations in quantum liquids is revisited. A fully quantum mechanical self-consistent treatment based on a quantum mode-coupling theory [E. Rabani and D.R. Reichman, J. Chem. Phys.116, 6271…

Statistical Mechanics · Physics 2009-11-10 Eran Rabani , David R. Reichman

We report a symmetry property of the Einstein-Friedmann equations for spatially flat Friedmann-Lema\^itre-Robertson-Walker universes filled with a perfect fluid with any constant equation of state. The symmetry transformations form a…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Valerio Faraoni

We prove that in Robertson-Walker space-times (and in generalized Robertson-Walker spacetimes of dimension greater than 3 with divergence-free Weyl tensor) all higher-order gravitational corrections of the Hilbert-Einstein Lagrangian…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Salvatore Capozziello , Carlo Alberto Mantica , Luca Guido Molinari

We correct certain errors and ambiguities in the recent pedagogical article by Hopkins and de Bruyn. The early-time asymptotics of the solution to the transient version of Stokes' second problem for an Oldroyd-B fluid in a half-space is…

Fluid Dynamics · Physics 2015-11-18 Ivan C. Christov

We demonstrate that the thermodynamics of a perfect fluid describing baryonic matter can, in certain limits, lead to an equation of state similar to that of dark energy. We keep the cosmic fluid equation of state quite general by just…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Georgios Lukes-Gerakopoulos , Giovanni Acquaviva , Charalampos Markakis

This paper was withdrawn by the author due to an error in the treatment of the earth acceleration in the accelerated frame of the Cooper pairs.

Condensed Matter · Physics 2007-05-23 Robert Desbrandes

This is a reply to the comment of Jiayong Zou on the paper "Improvements for drift-diffusion plasma fluid models with explicit time integration". The criticism in the comment, namely that the current-limited approach is inconsistent with…

Plasma Physics · Physics 2020-08-05 Jannis Teunissen

The phenomenon of superconductivity was explained as a consequence of ordering of zero-point oscillations. Superfluidity are related phenomenon. The consideration of interaction zero-point oscillations in liquid helium permit to obtain…

General Physics · Physics 2014-02-06 B. V. Vasiliev

In this comment we show that the approach presented by Foj\'on et al~\cite{Fojon10} is not as accurate as they claim. A straightforward calculation using the models considered buy those authors clearly shows that the spectral method, which…

Quantum Physics · Physics 2018-10-29 Miguel Ahumada-Centeno , Paolo Amore , Francisco M Fernandez

The electromagnetic field is studied in a family of exact solutions of the Einstein equations whose material content is a perfect fluid with stiff equation of state (p = $\epsilon $ ). The field equations are solved exactly for several…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pimentel L O

We study the thermodynamics of the universe containing perfect fluid with equation of state $p=\omega\rho,\omega$ is variable. Here we choose $\omega$ to be a function of the red shift variable $z$ and four different choices of $\omega$ has…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Nairwita Mazumder , Subenoy Chakraborty

The article discusses and substantiates a self-consistent approach to the macroscopic description of systems with gravitational interaction. Corrections to the equation of state of the fluid are found based on macroscopic Einstein equations…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Yu. G. Ignat'ev

In this paper we investigate a class of solutions of Einstein equations for the plane-symmetric perfect fluid case with shear and vanishing acceleration. If these solutions have shear, they must necessarily be non-static. We examine the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Anirudh Pradhan , Purnima Pandey , Sunil Kumar Singh

Highlights are presented regarding recent developments of the kinetic theory of granular matter. These concern the discovery of an exact kinetic equation and a related exact H-theorem both holding for finite $N-$body systems formed by…

Statistical Mechanics · Physics 2016-12-15 Massimo Tessarotto , Claudio Cremaschini

During the last decade, density function theory (DFT) in its static and dynamic time dependent forms, has emerged as a powerful tool to describe the structure and dynamics of doped liquid helium and droplets. In this review, we summarize…

I discuss in an elementary and self-contained way the nature of the current-carrying state in Hall superfluids. The explicit connection of fractional charge and rationality of the filling fraction $\nu$ with quantization of angular…

Condensed Matter · Physics 2007-05-23 Frank Wilczek

It is shown that gauge theories with fermions are most naturally studied via a polar decomposition of the field variable. This is the fermionic analog of the preprint cond-mat/0210673. The hope is that these two put together will enable the…

Superconductivity · Physics 2007-05-23 Girish S. Setlur

A brief summary of results on kinematic self-similarities in general relativity is given. Attention is focussed on locally rotationally symmetric models admitting kinematic self-similar vectors. Coordinate expressions for the metric and the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 A. M. Sintes
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